Solving fractional partial differential equations with corrected Fourier series method

The corrected Fourier series (CFS) is proposed for solving partial differential equations (PDEs) with fractional time derivative on a finite domain. In the previous work, we have been solving partial differential equations by using corrected Fourier series. The fractional derivatives are described i...

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Bibliographic Details
Main Authors: Zainal, Nor Hafizah, Kilicman, Adem
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2014
Online Access:http://psasir.upm.edu.my/id/eprint/35414/1/Solving%20Fractional%20Partial%20Differential%20Equations%20with%20Corrected.pdf
http://psasir.upm.edu.my/id/eprint/35414/
http://www.hindawi.com/journals/aaa/2014/958931/abs/
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Summary:The corrected Fourier series (CFS) is proposed for solving partial differential equations (PDEs) with fractional time derivative on a finite domain. In the previous work, we have been solving partial differential equations by using corrected Fourier series. The fractional derivatives are described in Riemann sense. Some numerical examples are presented to show the solutions.